Books about REDUCE

REDUCE manual

Anthony C. Hearn: REDUCE User's and Contributed Packages Manual, Version 3.8 April 2004. Available from Konrad-Zuse-Zentrum Berlin, Germany. Please fetch it from here(pdf). or here(ps).

---- The REDUCE 3.3 manual is available in a Japanese translation by Hiroshi Toshima from McGraw Hill Japan, 1988.

About using REDUCE

F.Brackx, D. Constales: Computer Algebra with LISP and REDUCE, Kluwer Academic Publishers, 1992, ISBN 0-7923-1441-7.

J.H. Davenport, Y. Siret, E. Tournier, Computer Algebra, Systems and Algorithms for Algebraic Computation, second edition, Academic Press, London, 1993, ISBN 0-12-209232-8.

- second edition in French: Calcul Formel, Masson, Paris, 1993, ISBN 2-225-84200-09.

- first edition in Russian: Kompyuter Algebra, MIR, 1991, ISBN 5-03-001658-9.

A.G.Grozin, Using REDUCE in High Energy Physics, Cambridge University Press. 1996

F.W. Hehl, V. Winkelmann, H. Meyer, Computer-Algebra. Ein Kompaktkurs über die Anwendung von REDUCE. Springer-Verlag, Berlin, Heidelberg, New York, 1992 (in German). ISBN 3-540-55724-5.

R. Hirota, M. Ito, Introduction to REDUCE - Doing Symbolic Computation on PC, Science sha, Tokyo, June 1989 (in Japanese).

M. MacCallum, F. Wright, Algebraic Computing with REDUCE, Oxford University Press, Oxford, UK, November 1991, ISBN 0-19-853444-2 (hard cover), 0-19-853443-4 (paperback).

N. MacDonald, REDUCE for Physicists, Institute of Physics Publishing, Bristol, UK, 1994, ISBN 0-7503-0277-1.

Hideharu Nakamura, Shouichi Matsui, Symbolic Computation in Structural Mechanicos using REDUCE, Gihodo Shuppan, Tokyo, 1989 (in Japanese).

Mitsuyuki Ochiai, Kiyokazu Nagatomo, Linear Algebra using REDUCE, Kindai Kagaku sha, Tokyo, January 1990 (in Japanese).

G. Rayna, REDUCE Software for Algebraic Computation, Springer-Verlag, New York, Berlin, 1987, ISBN 0-387-96598-X (New York), 3-540-96598-X (Berlin). This book describes REDUCE 3.2.

W.-H. Steeb, Chaos and Fractals: Algorithms and Computations, BI-Wissenschaftsverlag, Mannheim, 1992. This book includes 26 Turbo C and C++, 47 Turbo PASCAL and 23 REDUCE programs.

W.-H. Steeb, D. Lewien: Algorithms and Computation with REDUCE, BI-Wissenschaftsverlag, Mannheim, 1992. This book gives a collection of 75 standard methods in mathematics, physics and engineering together with their programs in REDUCE 3.4. Each item consists of a one page mathematical description and one page REDUCE algebraic source text (in most cases a few lines only). The book is an introduction by example to algebraic programming in REDUCE and a collection of ready to use solutions for many mathematical subtasks.

W.-H. Steeb: Invertible Point Transformations and Nonlinear Differential Equations, World Scientific, Singapore, 1993. The last chapter 11 of this book contains REDUCE programs which demonstrate the mathematical methods described in chapters 1 to 10.

W.-H. Steeb:Chaos und Quantenchaos in dynamischen Systemen (in German),BI-Wissenschaftsverlag, Mannheim, 1994. This book includes programs in REDUCE and C++ for analyzing chaotic systems and fractals.

W.-H. Steeb:Quantum Mechanics using Computer Algebra, World Scientific, Singapore, 1993. Includes sample programs for REDUCE, Maple, Mathematica and C++.

J. Ueberberg, Einführung in die Computeralgebra mit REDUCE, BI-Wissenschaftsverlag, Mannheim, 1992, ISBN 3-411-15781-X (in German).

V. Winkelmann, F. W. Hehl, REDUCE for Beginners, Six Lectures on the Application of Computer Algebra in D. Stauffer, F.W. Hehl, V. Winkelmann, J.G. Zabolitzky, Computer Simulation and Computer Algebra. Lectures for Beginners, third enlarged edition, Springer Verlag, New York, Berlin, 1993, ISBN 0-387-56530-2 (Berlin), 3-540-56530-2 (New York).

About RLISP

(the language in which REDUCE is written)

J. B. Marti, RLISP '88: An Evolutionary Approach to Program Design and Reuse, World Scientific, Singapore, 1993. This book contains several small and big examples for the use of the programming language RLISP.


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